Finding the Third Proportional to 96,702 and 147,832.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,702 : 147,832.50 = 147,832.50 : x
2. Step 2: Convert to fraction form
   96,702/147,832.50 = 147,832.50/x
3. Step 3: Cross multiply
   96,702x = 147,832.50 × 147,832.50
4. Step 4: Simplify right side
   96,702x = 21,854,448,056.25
5. Step 5: Solve for x
   x = 21,854,448,056.25/96,702
6. Step 6: Final answer
   x = 225,997.89