Finding the Third Proportional to 52,952 and 78,196

Step by Step Solution

1. Step 1: Write the proportion equation
   52,952 : 78,196 = 78,196 : x
2. Step 2: Convert to fraction form
   52,952/78,196 = 78,196/x
3. Step 3: Cross multiply
   52,952x = 78,196 × 78,196
4. Step 4: Simplify right side
   52,952x = 6,114,614,416
5. Step 5: Solve for x
   x = 6,114,614,416/52,952
6. Step 6: Final answer
   x = 115,474.66