Finding the Third Proportional to 83,938.50 and 182,070.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83,938.50 : 182,070.75 = 182,070.75 : x
2. Step 2: Convert to fraction form
   83,938.50/182,070.75 = 182,070.75/x
3. Step 3: Cross multiply
   83,938.50x = 182,070.75 × 182,070.75
4. Step 4: Simplify right side
   83,938.50x = 33,149,758,005.56
5. Step 5: Solve for x
   x = 33,149,758,005.56/83,938.50
6. Step 6: Final answer
   x = 394,929.12