Finding the Third Proportional to 49,345 and 108,531.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,345 : 108,531.50 = 108,531.50 : x
2. Step 2: Convert to fraction form
   49,345/108,531.50 = 108,531.50/x
3. Step 3: Cross multiply
   49,345x = 108,531.50 × 108,531.50
4. Step 4: Simplify right side
   49,345x = 11,779,086,492.25
5. Step 5: Solve for x
   x = 11,779,086,492.25/49,345
6. Step 6: Final answer
   x = 238,708.82