Finding the Third Proportional to 69,312 and 103,506

Step by Step Solution

1. Step 1: Write the proportion equation
   69,312 : 103,506 = 103,506 : x
2. Step 2: Convert to fraction form
   69,312/103,506 = 103,506/x
3. Step 3: Cross multiply
   69,312x = 103,506 × 103,506
4. Step 4: Simplify right side
   69,312x = 10,713,492,036
5. Step 5: Solve for x
   x = 10,713,492,036/69,312
6. Step 6: Final answer
   x = 154,569.08