Finding the Third Proportional to 109,507.50 and 233,127

Step by Step Solution

1. Step 1: Write the proportion equation
   109,507.50 : 233,127 = 233,127 : x
2. Step 2: Convert to fraction form
   109,507.50/233,127 = 233,127/x
3. Step 3: Cross multiply
   109,507.50x = 233,127 × 233,127
4. Step 4: Simplify right side
   109,507.50x = 54,348,198,129
5. Step 5: Solve for x
   x = 54,348,198,129/109,507.50
6. Step 6: Final answer
   x = 496,296.58