Finding the Third Proportional to 97,822.50 and 148,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,822.50 : 148,789.50 = 148,789.50 : x
2. Step 2: Convert to fraction form
   97,822.50/148,789.50 = 148,789.50/x
3. Step 3: Cross multiply
   97,822.50x = 148,789.50 × 148,789.50
4. Step 4: Simplify right side
   97,822.50x = 22,138,315,310.25
5. Step 5: Solve for x
   x = 22,138,315,310.25/97,822.50
6. Step 6: Final answer
   x = 226,311.08