Finding the Third Proportional to 98,164 and 152,862

Step by Step Solution

1. Step 1: Write the proportion equation
   98,164 : 152,862 = 152,862 : x
2. Step 2: Convert to fraction form
   98,164/152,862 = 152,862/x
3. Step 3: Cross multiply
   98,164x = 152,862 × 152,862
4. Step 4: Simplify right side
   98,164x = 23,366,791,044
5. Step 5: Solve for x
   x = 23,366,791,044/98,164
6. Step 6: Final answer
   x = 238,038.29