Finding the Third Proportional to 50,465 and 78,365

Step by Step Solution

1. Step 1: Write the proportion equation
   50,465 : 78,365 = 78,365 : x
2. Step 2: Convert to fraction form
   50,465/78,365 = 78,365/x
3. Step 3: Cross multiply
   50,465x = 78,365 × 78,365
4. Step 4: Simplify right side
   50,465x = 6,141,073,225
5. Step 5: Solve for x
   x = 6,141,073,225/50,465
6. Step 6: Final answer
   x = 121,689.75