Finding the Third Proportional to 42,534 and 89,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,534 : 89,422.50 = 89,422.50 : x
2. Step 2: Convert to fraction form
   42,534/89,422.50 = 89,422.50/x
3. Step 3: Cross multiply
   42,534x = 89,422.50 × 89,422.50
4. Step 4: Simplify right side
   42,534x = 7,996,383,506.25
5. Step 5: Solve for x
   x = 7,996,383,506.25/42,534
6. Step 6: Final answer
   x = 187,999.80