Finding the Third Proportional to 85,368 and 114,224

Step by Step Solution

1. Step 1: Write the proportion equation
   85,368 : 114,224 = 114,224 : x
2. Step 2: Convert to fraction form
   85,368/114,224 = 114,224/x
3. Step 3: Cross multiply
   85,368x = 114,224 × 114,224
4. Step 4: Simplify right side
   85,368x = 13,047,122,176
5. Step 5: Solve for x
   x = 13,047,122,176/85,368
6. Step 6: Final answer
   x = 152,833.87