Finding the Third Proportional to 148,689 and 314,658

Step by Step Solution

1. Step 1: Write the proportion equation
   148,689 : 314,658 = 314,658 : x
2. Step 2: Convert to fraction form
   148,689/314,658 = 314,658/x
3. Step 3: Cross multiply
   148,689x = 314,658 × 314,658
4. Step 4: Simplify right side
   148,689x = 99,009,656,964
5. Step 5: Solve for x
   x = 99,009,656,964/148,689
6. Step 6: Final answer
   x = 665,884.21