Finding the Third Proportional to 46,810.50 and 109,858.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,810.50 : 109,858.50 = 109,858.50 : x
2. Step 2: Convert to fraction form
   46,810.50/109,858.50 = 109,858.50/x
3. Step 3: Cross multiply
   46,810.50x = 109,858.50 × 109,858.50
4. Step 4: Simplify right side
   46,810.50x = 12,068,890,022.25
5. Step 5: Solve for x
   x = 12,068,890,022.25/46,810.50
6. Step 6: Final answer
   x = 257,824.42