Finding the Third Proportional to 133,855.50 and 178,454

Step by Step Solution

1. Step 1: Write the proportion equation
   133,855.50 : 178,454 = 178,454 : x
2. Step 2: Convert to fraction form
   133,855.50/178,454 = 178,454/x
3. Step 3: Cross multiply
   133,855.50x = 178,454 × 178,454
4. Step 4: Simplify right side
   133,855.50x = 31,845,830,116
5. Step 5: Solve for x
   x = 31,845,830,116/133,855.50
6. Step 6: Final answer
   x = 237,912.00