Finding the Third Proportional to 37,496 and 78,440

Step by Step Solution

1. Step 1: Write the proportion equation
   37,496 : 78,440 = 78,440 : x
2. Step 2: Convert to fraction form
   37,496/78,440 = 78,440/x
3. Step 3: Cross multiply
   37,496x = 78,440 × 78,440
4. Step 4: Simplify right side
   37,496x = 6,152,833,600
5. Step 5: Solve for x
   x = 6,152,833,600/37,496
6. Step 6: Final answer
   x = 164,093.07