Finding the Third Proportional to 45,643 and 98,076

Step by Step Solution

1. Step 1: Write the proportion equation
   45,643 : 98,076 = 98,076 : x
2. Step 2: Convert to fraction form
   45,643/98,076 = 98,076/x
3. Step 3: Cross multiply
   45,643x = 98,076 × 98,076
4. Step 4: Simplify right side
   45,643x = 9,618,901,776
5. Step 5: Solve for x
   x = 9,618,901,776/45,643
6. Step 6: Final answer
   x = 210,742.10