Finding the Third Proportional to 46,216 and 94,622.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,216 : 94,622.50 = 94,622.50 : x
2. Step 2: Convert to fraction form
   46,216/94,622.50 = 94,622.50/x
3. Step 3: Cross multiply
   46,216x = 94,622.50 × 94,622.50
4. Step 4: Simplify right side
   46,216x = 8,953,417,506.25
5. Step 5: Solve for x
   x = 8,953,417,506.25/46,216
6. Step 6: Final answer
   x = 193,729.82