Finding the Third Proportional to 123,180.75 and 161,746.88

Step by Step Solution

1. Step 1: Write the proportion equation
   123,180.75 : 161,746.88 = 161,746.88 : x
2. Step 2: Convert to fraction form
   123,180.75/161,746.88 = 161,746.88/x
3. Step 3: Cross multiply
   123,180.75x = 161,746.88 × 161,746.88
4. Step 4: Simplify right side
   123,180.75x = 26,162,051,572.27
5. Step 5: Solve for x
   x = 26,162,051,572.27/123,180.75
6. Step 6: Final answer
   x = 212,387.50