Finding the Third Proportional to 98,597 and 147,847.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,597 : 147,847.50 = 147,847.50 : x
2. Step 2: Convert to fraction form
   98,597/147,847.50 = 147,847.50/x
3. Step 3: Cross multiply
   98,597x = 147,847.50 × 147,847.50
4. Step 4: Simplify right side
   98,597x = 21,858,883,256.25
5. Step 5: Solve for x
   x = 21,858,883,256.25/98,597
6. Step 6: Final answer
   x = 221,699.27