Finding the Third Proportional to 49,374 and 108,123.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,374 : 108,123.75 = 108,123.75 : x
2. Step 2: Convert to fraction form
   49,374/108,123.75 = 108,123.75/x
3. Step 3: Cross multiply
   49,374x = 108,123.75 × 108,123.75
4. Step 4: Simplify right side
   49,374x = 11,690,745,314.06
5. Step 5: Solve for x
   x = 11,690,745,314.06/49,374
6. Step 6: Final answer
   x = 236,779.38