Finding the Third Proportional to 148,896 and 314,352

Step by Step Solution

1. Step 1: Write the proportion equation
   148,896 : 314,352 = 314,352 : x
2. Step 2: Convert to fraction form
   148,896/314,352 = 314,352/x
3. Step 3: Cross multiply
   148,896x = 314,352 × 314,352
4. Step 4: Simplify right side
   148,896x = 98,817,179,904
5. Step 5: Solve for x
   x = 98,817,179,904/148,896
6. Step 6: Final answer
   x = 663,665.78