Finding the Third Proportional to 46,756 and 100,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,756 : 100,077.50 = 100,077.50 : x
2. Step 2: Convert to fraction form
   46,756/100,077.50 = 100,077.50/x
3. Step 3: Cross multiply
   46,756x = 100,077.50 × 100,077.50
4. Step 4: Simplify right side
   46,756x = 10,015,506,006.25
5. Step 5: Solve for x
   x = 10,015,506,006.25/46,756
6. Step 6: Final answer
   x = 214,207.93