Finding the Third Proportional to 146,126 and 314,428

Step by Step Solution

1. Step 1: Write the proportion equation
   146,126 : 314,428 = 314,428 : x
2. Step 2: Convert to fraction form
   146,126/314,428 = 314,428/x
3. Step 3: Cross multiply
   146,126x = 314,428 × 314,428
4. Step 4: Simplify right side
   146,126x = 98,864,967,184
5. Step 5: Solve for x
   x = 98,864,967,184/146,126
6. Step 6: Final answer
   x = 676,573.42