Finding the Third Proportional to 78,459 and 172,753.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,459 : 172,753.50 = 172,753.50 : x
2. Step 2: Convert to fraction form
   78,459/172,753.50 = 172,753.50/x
3. Step 3: Cross multiply
   78,459x = 172,753.50 × 172,753.50
4. Step 4: Simplify right side
   78,459x = 29,843,771,762.25
5. Step 5: Solve for x
   x = 29,843,771,762.25/78,459
6. Step 6: Final answer
   x = 380,374.10