Finding the Third Proportional to 116,376 and 184,572

Step by Step Solution

1. Step 1: Write the proportion equation
   116,376 : 184,572 = 184,572 : x
2. Step 2: Convert to fraction form
   116,376/184,572 = 184,572/x
3. Step 3: Cross multiply
   116,376x = 184,572 × 184,572
4. Step 4: Simplify right side
   116,376x = 34,066,823,184
5. Step 5: Solve for x
   x = 34,066,823,184/116,376
6. Step 6: Final answer
   x = 292,730.66