Finding the Third Proportional to 78,963 and 172,687.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,963 : 172,687.50 = 172,687.50 : x
2. Step 2: Convert to fraction form
   78,963/172,687.50 = 172,687.50/x
3. Step 3: Cross multiply
   78,963x = 172,687.50 × 172,687.50
4. Step 4: Simplify right side
   78,963x = 29,820,972,656.25
5. Step 5: Solve for x
   x = 29,820,972,656.25/78,963
6. Step 6: Final answer
   x = 377,657.54