Finding the Third Proportional to 52,160 and 78,056

Step by Step Solution

1. Step 1: Write the proportion equation
   52,160 : 78,056 = 78,056 : x
2. Step 2: Convert to fraction form
   52,160/78,056 = 78,056/x
3. Step 3: Cross multiply
   52,160x = 78,056 × 78,056
4. Step 4: Simplify right side
   52,160x = 6,092,739,136
5. Step 5: Solve for x
   x = 6,092,739,136/52,160
6. Step 6: Final answer
   x = 116,808.65