Finding the Third Proportional to 53,152 and 78,700

Step by Step Solution

1. Step 1: Write the proportion equation
   53,152 : 78,700 = 78,700 : x
2. Step 2: Convert to fraction form
   53,152/78,700 = 78,700/x
3. Step 3: Cross multiply
   53,152x = 78,700 × 78,700
4. Step 4: Simplify right side
   53,152x = 6,193,690,000
5. Step 5: Solve for x
   x = 6,193,690,000/53,152
6. Step 6: Final answer
   x = 116,527.88