Finding the Third Proportional to 42,314 and 98,891

Step by Step Solution

1. Step 1: Write the proportion equation
   42,314 : 98,891 = 98,891 : x
2. Step 2: Convert to fraction form
   42,314/98,891 = 98,891/x
3. Step 3: Cross multiply
   42,314x = 98,891 × 98,891
4. Step 4: Simplify right side
   42,314x = 9,779,429,881
5. Step 5: Solve for x
   x = 9,779,429,881/42,314
6. Step 6: Final answer
   x = 231,115.70