Finding the Third Proportional to 55,457 and 78,470

Step by Step Solution

1. Step 1: Write the proportion equation
   55,457 : 78,470 = 78,470 : x
2. Step 2: Convert to fraction form
   55,457/78,470 = 78,470/x
3. Step 3: Cross multiply
   55,457x = 78,470 × 78,470
4. Step 4: Simplify right side
   55,457x = 6,157,540,900
5. Step 5: Solve for x
   x = 6,157,540,900/55,457
6. Step 6: Final answer
   x = 111,032.71