Finding the Third Proportional to 99,365 and 147,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,365 : 147,697.50 = 147,697.50 : x
2. Step 2: Convert to fraction form
   99,365/147,697.50 = 147,697.50/x
3. Step 3: Cross multiply
   99,365x = 147,697.50 × 147,697.50
4. Step 4: Simplify right side
   99,365x = 21,814,551,506.25
5. Step 5: Solve for x
   x = 21,814,551,506.25/99,365
6. Step 6: Final answer
   x = 219,539.59