Finding the Third Proportional to 37,329 and 78,114

Step by Step Solution

1. Step 1: Write the proportion equation
   37,329 : 78,114 = 78,114 : x
2. Step 2: Convert to fraction form
   37,329/78,114 = 78,114/x
3. Step 3: Cross multiply
   37,329x = 78,114 × 78,114
4. Step 4: Simplify right side
   37,329x = 6,101,796,996
5. Step 5: Solve for x
   x = 6,101,796,996/37,329
6. Step 6: Final answer
   x = 163,459.96