Finding the Third Proportional to 69,683.50 and 105,178

Step by Step Solution

1. Step 1: Write the proportion equation
   69,683.50 : 105,178 = 105,178 : x
2. Step 2: Convert to fraction form
   69,683.50/105,178 = 105,178/x
3. Step 3: Cross multiply
   69,683.50x = 105,178 × 105,178
4. Step 4: Simplify right side
   69,683.50x = 11,062,411,684
5. Step 5: Solve for x
   x = 11,062,411,684/69,683.50
6. Step 6: Final answer
   x = 158,752.24