Finding the Third Proportional to 78,023 and 117,584

Step by Step Solution

1. Step 1: Write the proportion equation
   78,023 : 117,584 = 117,584 : x
2. Step 2: Convert to fraction form
   78,023/117,584 = 117,584/x
3. Step 3: Cross multiply
   78,023x = 117,584 × 117,584
4. Step 4: Simplify right side
   78,023x = 13,825,997,056
5. Step 5: Solve for x
   x = 13,825,997,056/78,023
6. Step 6: Final answer
   x = 177,204.12