Finding the Third Proportional to 89,871.75 and 137,534.63

Step by Step Solution

1. Step 1: Write the proportion equation
   89,871.75 : 137,534.63 = 137,534.63 : x
2. Step 2: Convert to fraction form
   89,871.75/137,534.63 = 137,534.63/x
3. Step 3: Cross multiply
   89,871.75x = 137,534.63 × 137,534.63
4. Step 4: Simplify right side
   89,871.75x = 18,915,773,073.89
5. Step 5: Solve for x
   x = 18,915,773,073.89/89,871.75
6. Step 6: Final answer
   x = 210,475.18