Finding the Third Proportional to 116,372 and 184,566

Step by Step Solution

1. Step 1: Write the proportion equation
   116,372 : 184,566 = 184,566 : x
2. Step 2: Convert to fraction form
   116,372/184,566 = 184,566/x
3. Step 3: Cross multiply
   116,372x = 184,566 × 184,566
4. Step 4: Simplify right side
   116,372x = 34,064,608,356
5. Step 5: Solve for x
   x = 34,064,608,356/116,372
6. Step 6: Final answer
   x = 292,721.69