Finding the Third Proportional to 148,878 and 309,784

Step by Step Solution

1. Step 1: Write the proportion equation
   148,878 : 309,784 = 309,784 : x
2. Step 2: Convert to fraction form
   148,878/309,784 = 309,784/x
3. Step 3: Cross multiply
   148,878x = 309,784 × 309,784
4. Step 4: Simplify right side
   148,878x = 95,966,126,656
5. Step 5: Solve for x
   x = 95,966,126,656/148,878
6. Step 6: Final answer
   x = 644,595.75