Finding the Third Proportional to 106,521.75 and 232,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,521.75 : 232,111.50 = 232,111.50 : x
2. Step 2: Convert to fraction form
   106,521.75/232,111.50 = 232,111.50/x
3. Step 3: Cross multiply
   106,521.75x = 232,111.50 × 232,111.50
4. Step 4: Simplify right side
   106,521.75x = 53,875,748,432.25
5. Step 5: Solve for x
   x = 53,875,748,432.25/106,521.75
6. Step 6: Final answer
   x = 505,772.28