Finding the Third Proportional to 75,541 and 105,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,541 : 105,877.50 = 105,877.50 : x
2. Step 2: Convert to fraction form
   75,541/105,877.50 = 105,877.50/x
3. Step 3: Cross multiply
   75,541x = 105,877.50 × 105,877.50
4. Step 4: Simplify right side
   75,541x = 11,210,045,006.25
5. Step 5: Solve for x
   x = 11,210,045,006.25/75,541
6. Step 6: Final answer
   x = 148,396.83