Finding the Third Proportional to 75,117 and 152,308

Step by Step Solution

1. Step 1: Write the proportion equation
   75,117 : 152,308 = 152,308 : x
2. Step 2: Convert to fraction form
   75,117/152,308 = 152,308/x
3. Step 3: Cross multiply
   75,117x = 152,308 × 152,308
4. Step 4: Simplify right side
   75,117x = 23,197,726,864
5. Step 5: Solve for x
   x = 23,197,726,864/75,117
6. Step 6: Final answer
   x = 308,821.26