Finding the Third Proportional to 82,250 and 178,593.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,250 : 178,593.50 = 178,593.50 : x
2. Step 2: Convert to fraction form
   82,250/178,593.50 = 178,593.50/x
3. Step 3: Cross multiply
   82,250x = 178,593.50 × 178,593.50
4. Step 4: Simplify right side
   82,250x = 31,895,638,242.25
5. Step 5: Solve for x
   x = 31,895,638,242.25/82,250
6. Step 6: Final answer
   x = 387,788.91