Finding the Third Proportional to 148,385 and 314,426

Step by Step Solution

1. Step 1: Write the proportion equation
   148,385 : 314,426 = 314,426 : x
2. Step 2: Convert to fraction form
   148,385/314,426 = 314,426/x
3. Step 3: Cross multiply
   148,385x = 314,426 × 314,426
4. Step 4: Simplify right side
   148,385x = 98,863,709,476
5. Step 5: Solve for x
   x = 98,863,709,476/148,385
6. Step 6: Final answer
   x = 666,264.85