Finding the Third Proportional to 47,278 and 72,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,278 : 72,172.50 = 72,172.50 : x
2. Step 2: Convert to fraction form
   47,278/72,172.50 = 72,172.50/x
3. Step 3: Cross multiply
   47,278x = 72,172.50 × 72,172.50
4. Step 4: Simplify right side
   47,278x = 5,208,869,756.25
5. Step 5: Solve for x
   x = 5,208,869,756.25/47,278
6. Step 6: Final answer
   x = 110,175.34