Finding the Third Proportional to 78,463 and 169,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,463 : 169,872.50 = 169,872.50 : x
2. Step 2: Convert to fraction form
   78,463/169,872.50 = 169,872.50/x
3. Step 3: Cross multiply
   78,463x = 169,872.50 × 169,872.50
4. Step 4: Simplify right side
   78,463x = 28,856,666,256.25
5. Step 5: Solve for x
   x = 28,856,666,256.25/78,463
6. Step 6: Final answer
   x = 367,774.19