Finding the Third Proportional to 65,124 and 137,862

Step by Step Solution

1. Step 1: Write the proportion equation
   65,124 : 137,862 = 137,862 : x
2. Step 2: Convert to fraction form
   65,124/137,862 = 137,862/x
3. Step 3: Cross multiply
   65,124x = 137,862 × 137,862
4. Step 4: Simplify right side
   65,124x = 19,005,931,044
5. Step 5: Solve for x
   x = 19,005,931,044/65,124
6. Step 6: Final answer
   x = 291,842.19