Finding the Third Proportional to 105,246 and 232,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,246 : 232,645.50 = 232,645.50 : x
2. Step 2: Convert to fraction form
   105,246/232,645.50 = 232,645.50/x
3. Step 3: Cross multiply
   105,246x = 232,645.50 × 232,645.50
4. Step 4: Simplify right side
   105,246x = 54,123,928,670.25
5. Step 5: Solve for x
   x = 54,123,928,670.25/105,246
6. Step 6: Final answer
   x = 514,261.15