Finding the Third Proportional to 146,292 and 314,784

Step by Step Solution

1. Step 1: Write the proportion equation
   146,292 : 314,784 = 314,784 : x
2. Step 2: Convert to fraction form
   146,292/314,784 = 314,784/x
3. Step 3: Cross multiply
   146,292x = 314,784 × 314,784
4. Step 4: Simplify right side
   146,292x = 99,088,966,656
5. Step 5: Solve for x
   x = 99,088,966,656/146,292
6. Step 6: Final answer
   x = 677,336.88