Finding the Third Proportional to 34,538,178 and 75,565,584

Step by Step Solution

1. Step 1: Write the proportion equation
   34,538,178 : 75,565,584 = 75,565,584 : x
2. Step 2: Convert to fraction form
   34,538,178/75,565,584 = 75,565,584/x
3. Step 3: Cross multiply
   34,538,178x = 75,565,584 × 75,565,584
4. Step 4: Simplify right side
   34,538,178x = 5,710,157,485,261,056
5. Step 5: Solve for x
   x = 5,710,157,485,261,056/34,538,178
6. Step 6: Final answer
   x = 165,328,856.82