Finding the Third Proportional to 99,657 and 145,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,657 : 145,648.50 = 145,648.50 : x
2. Step 2: Convert to fraction form
   99,657/145,648.50 = 145,648.50/x
3. Step 3: Cross multiply
   99,657x = 145,648.50 × 145,648.50
4. Step 4: Simplify right side
   99,657x = 21,213,485,552.25
5. Step 5: Solve for x
   x = 21,213,485,552.25/99,657
6. Step 6: Final answer
   x = 212,864.98