Finding the Third Proportional to 116,748 and 184,896

Step by Step Solution

1. Step 1: Write the proportion equation
   116,748 : 184,896 = 184,896 : x
2. Step 2: Convert to fraction form
   116,748/184,896 = 184,896/x
3. Step 3: Cross multiply
   116,748x = 184,896 × 184,896
4. Step 4: Simplify right side
   116,748x = 34,186,530,816
5. Step 5: Solve for x
   x = 34,186,530,816/116,748
6. Step 6: Final answer
   x = 292,823.27