Finding the Third Proportional to 116,765 and 184,921.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,765 : 184,921.50 = 184,921.50 : x
2. Step 2: Convert to fraction form
   116,765/184,921.50 = 184,921.50/x
3. Step 3: Cross multiply
   116,765x = 184,921.50 × 184,921.50
4. Step 4: Simplify right side
   116,765x = 34,195,961,162.25
5. Step 5: Solve for x
   x = 34,195,961,162.25/116,765
6. Step 6: Final answer
   x = 292,861.40