Finding the Third Proportional to 45,884 and 101,594.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,884 : 101,594.50 = 101,594.50 : x
2. Step 2: Convert to fraction form
   45,884/101,594.50 = 101,594.50/x
3. Step 3: Cross multiply
   45,884x = 101,594.50 × 101,594.50
4. Step 4: Simplify right side
   45,884x = 10,321,442,430.25
5. Step 5: Solve for x
   x = 10,321,442,430.25/45,884
6. Step 6: Final answer
   x = 224,946.44