Finding the Third Proportional to 105,897 and 232,528.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,897 : 232,528.50 = 232,528.50 : x
2. Step 2: Convert to fraction form
   105,897/232,528.50 = 232,528.50/x
3. Step 3: Cross multiply
   105,897x = 232,528.50 × 232,528.50
4. Step 4: Simplify right side
   105,897x = 54,069,503,312.25
5. Step 5: Solve for x
   x = 54,069,503,312.25/105,897
6. Step 6: Final answer
   x = 510,585.79