Finding the Third Proportional to 83,457 and 172,732.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,457 : 172,732.50 = 172,732.50 : x
2. Step 2: Convert to fraction form
   83,457/172,732.50 = 172,732.50/x
3. Step 3: Cross multiply
   83,457x = 172,732.50 × 172,732.50
4. Step 4: Simplify right side
   83,457x = 29,836,516,556.25
5. Step 5: Solve for x
   x = 29,836,516,556.25/83,457
6. Step 6: Final answer
   x = 357,507.66