Finding the Third Proportional to 75,414 and 105,412.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,414 : 105,412.50 = 105,412.50 : x
2. Step 2: Convert to fraction form
   75,414/105,412.50 = 105,412.50/x
3. Step 3: Cross multiply
   75,414x = 105,412.50 × 105,412.50
4. Step 4: Simplify right side
   75,414x = 11,111,795,156.25
5. Step 5: Solve for x
   x = 11,111,795,156.25/75,414
6. Step 6: Final answer
   x = 147,343.93