Finding the Third Proportional to 37,288 and 78,464

Step by Step Solution

1. Step 1: Write the proportion equation
   37,288 : 78,464 = 78,464 : x
2. Step 2: Convert to fraction form
   37,288/78,464 = 78,464/x
3. Step 3: Cross multiply
   37,288x = 78,464 × 78,464
4. Step 4: Simplify right side
   37,288x = 6,156,599,296
5. Step 5: Solve for x
   x = 6,156,599,296/37,288
6. Step 6: Final answer
   x = 165,109.40