Finding the Third Proportional to 122,457 and 184,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,457 : 184,585.50 = 184,585.50 : x
2. Step 2: Convert to fraction form
   122,457/184,585.50 = 184,585.50/x
3. Step 3: Cross multiply
   122,457x = 184,585.50 × 184,585.50
4. Step 4: Simplify right side
   122,457x = 34,071,806,810.25
5. Step 5: Solve for x
   x = 34,071,806,810.25/122,457
6. Step 6: Final answer
   x = 278,234.86