Finding the Third Proportional to 82,885.50 and 181,903.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,885.50 : 181,903.50 = 181,903.50 : x
2. Step 2: Convert to fraction form
   82,885.50/181,903.50 = 181,903.50/x
3. Step 3: Cross multiply
   82,885.50x = 181,903.50 × 181,903.50
4. Step 4: Simplify right side
   82,885.50x = 33,088,883,312.25
5. Step 5: Solve for x
   x = 33,088,883,312.25/82,885.50
6. Step 6: Final answer
   x = 399,211.96