Finding the Third Proportional to 52,964 and 78,726

Step by Step Solution

1. Step 1: Write the proportion equation
   52,964 : 78,726 = 78,726 : x
2. Step 2: Convert to fraction form
   52,964/78,726 = 78,726/x
3. Step 3: Cross multiply
   52,964x = 78,726 × 78,726
4. Step 4: Simplify right side
   52,964x = 6,197,783,076
5. Step 5: Solve for x
   x = 6,197,783,076/52,964
6. Step 6: Final answer
   x = 117,018.79