Finding the Third Proportional to 67,114 and 102,774

Step by Step Solution

1. Step 1: Write the proportion equation
   67,114 : 102,774 = 102,774 : x
2. Step 2: Convert to fraction form
   67,114/102,774 = 102,774/x
3. Step 3: Cross multiply
   67,114x = 102,774 × 102,774
4. Step 4: Simplify right side
   67,114x = 10,562,495,076
5. Step 5: Solve for x
   x = 10,562,495,076/67,114
6. Step 6: Final answer
   x = 157,381.40