Finding the Third Proportional to 82,258,078.50 and 178,676,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,258,078.50 : 178,676,266.50 = 178,676,266.50 : x
2. Step 2: Convert to fraction form
   82,258,078.50/178,676,266.50 = 178,676,266.50/x
3. Step 3: Cross multiply
   82,258,078.50x = 178,676,266.50 × 178,676,266.50
4. Step 4: Simplify right side
   82,258,078.50x = 31,925,208,210,379,024
5. Step 5: Solve for x
   x = 31,925,208,210,379,024/82,258,078.50
6. Step 6: Final answer
   x = 388,110,308.34