Finding the Third Proportional to 106,347 and 232,012.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,347 : 232,012.50 = 232,012.50 : x
2. Step 2: Convert to fraction form
   106,347/232,012.50 = 232,012.50/x
3. Step 3: Cross multiply
   106,347x = 232,012.50 × 232,012.50
4. Step 4: Simplify right side
   106,347x = 53,829,800,156.25
5. Step 5: Solve for x
   x = 53,829,800,156.25/106,347
6. Step 6: Final answer
   x = 506,171.31