Finding the Third Proportional to 148,816 and 208,144

Step by Step Solution

1. Step 1: Write the proportion equation
   148,816 : 208,144 = 208,144 : x
2. Step 2: Convert to fraction form
   148,816/208,144 = 208,144/x
3. Step 3: Cross multiply
   148,816x = 208,144 × 208,144
4. Step 4: Simplify right side
   148,816x = 43,323,924,736
5. Step 5: Solve for x
   x = 43,323,924,736/148,816
6. Step 6: Final answer
   x = 291,124.10