Finding the Third Proportional to 88,646 and 192,061.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,646 : 192,061.50 = 192,061.50 : x
2. Step 2: Convert to fraction form
   88,646/192,061.50 = 192,061.50/x
3. Step 3: Cross multiply
   88,646x = 192,061.50 × 192,061.50
4. Step 4: Simplify right side
   88,646x = 36,887,619,782.25
5. Step 5: Solve for x
   x = 36,887,619,782.25/88,646
6. Step 6: Final answer
   x = 416,122.78