Finding the Third Proportional to 100,854.50 and 137,038

Step by Step Solution

1. Step 1: Write the proportion equation
   100,854.50 : 137,038 = 137,038 : x
2. Step 2: Convert to fraction form
   100,854.50/137,038 = 137,038/x
3. Step 3: Cross multiply
   100,854.50x = 137,038 × 137,038
4. Step 4: Simplify right side
   100,854.50x = 18,779,413,444
5. Step 5: Solve for x
   x = 18,779,413,444/100,854.50
6. Step 6: Final answer
   x = 186,203.03