Finding the Third Proportional to 46,878 and 72,592.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,878 : 72,592.50 = 72,592.50 : x
2. Step 2: Convert to fraction form
   46,878/72,592.50 = 72,592.50/x
3. Step 3: Cross multiply
   46,878x = 72,592.50 × 72,592.50
4. Step 4: Simplify right side
   46,878x = 5,269,671,056.25
5. Step 5: Solve for x
   x = 5,269,671,056.25/46,878
6. Step 6: Final answer
   x = 112,412.45