Finding the Third Proportional to 101,298 and 234,516

Step by Step Solution

1. Step 1: Write the proportion equation
   101,298 : 234,516 = 234,516 : x
2. Step 2: Convert to fraction form
   101,298/234,516 = 234,516/x
3. Step 3: Cross multiply
   101,298x = 234,516 × 234,516
4. Step 4: Simplify right side
   101,298x = 54,997,754,256
5. Step 5: Solve for x
   x = 54,997,754,256/101,298
6. Step 6: Final answer
   x = 542,930.31