Finding the Third Proportional to 148,464 and 309,168

Step by Step Solution

1. Step 1: Write the proportion equation
   148,464 : 309,168 = 309,168 : x
2. Step 2: Convert to fraction form
   148,464/309,168 = 309,168/x
3. Step 3: Cross multiply
   148,464x = 309,168 × 309,168
4. Step 4: Simplify right side
   148,464x = 95,584,852,224
5. Step 5: Solve for x
   x = 95,584,852,224/148,464
6. Step 6: Final answer
   x = 643,825.12