Finding the Third Proportional to 32,470 and 78,008

Step by Step Solution

1. Step 1: Write the proportion equation
   32,470 : 78,008 = 78,008 : x
2. Step 2: Convert to fraction form
   32,470/78,008 = 78,008/x
3. Step 3: Cross multiply
   32,470x = 78,008 × 78,008
4. Step 4: Simplify right side
   32,470x = 6,085,248,064
5. Step 5: Solve for x
   x = 6,085,248,064/32,470
6. Step 6: Final answer
   x = 187,411.40