Finding the Third Proportional to 37,498 and 78,444

Step by Step Solution

1. Step 1: Write the proportion equation
   37,498 : 78,444 = 78,444 : x
2. Step 2: Convert to fraction form
   37,498/78,444 = 78,444/x
3. Step 3: Cross multiply
   37,498x = 78,444 × 78,444
4. Step 4: Simplify right side
   37,498x = 6,153,461,136
5. Step 5: Solve for x
   x = 6,153,461,136/37,498
6. Step 6: Final answer
   x = 164,101.05