Finding the Third Proportional to 46,391 and 103,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,391 : 103,406.50 = 103,406.50 : x
2. Step 2: Convert to fraction form
   46,391/103,406.50 = 103,406.50/x
3. Step 3: Cross multiply
   46,391x = 103,406.50 × 103,406.50
4. Step 4: Simplify right side
   46,391x = 10,692,904,242.25
5. Step 5: Solve for x
   x = 10,692,904,242.25/46,391
6. Step 6: Final answer
   x = 230,495.23