Finding the Third Proportional to 175,111,434 and 268,601,577

Step by Step Solution

1. Step 1: Write the proportion equation
   175,111,434 : 268,601,577 = 268,601,577 : x
2. Step 2: Convert to fraction form
   175,111,434/268,601,577 = 268,601,577/x
3. Step 3: Cross multiply
   175,111,434x = 268,601,577 × 268,601,577
4. Step 4: Simplify right side
   175,111,434x = 72,146,807,166,886,928
5. Step 5: Solve for x
   x = 72,146,807,166,886,928/175,111,434
6. Step 6: Final answer
   x = 412,005,118.79