Finding the Third Proportional to 141,566 and 314,600

Step by Step Solution

1. Step 1: Write the proportion equation
   141,566 : 314,600 = 314,600 : x
2. Step 2: Convert to fraction form
   141,566/314,600 = 314,600/x
3. Step 3: Cross multiply
   141,566x = 314,600 × 314,600
4. Step 4: Simplify right side
   141,566x = 98,973,160,000
5. Step 5: Solve for x
   x = 98,973,160,000/141,566
6. Step 6: Final answer
   x = 699,130.86