Finding the Third Proportional to 116,278.50 and 184,441.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,278.50 : 184,441.50 = 184,441.50 : x
2. Step 2: Convert to fraction form
   116,278.50/184,441.50 = 184,441.50/x
3. Step 3: Cross multiply
   116,278.50x = 184,441.50 × 184,441.50
4. Step 4: Simplify right side
   116,278.50x = 34,018,666,922.25
5. Step 5: Solve for x
   x = 34,018,666,922.25/116,278.50
6. Step 6: Final answer
   x = 292,561.97