Finding the Third Proportional to 103,880 and 148,036

Step by Step Solution

1. Step 1: Write the proportion equation
   103,880 : 148,036 = 148,036 : x
2. Step 2: Convert to fraction form
   103,880/148,036 = 148,036/x
3. Step 3: Cross multiply
   103,880x = 148,036 × 148,036
4. Step 4: Simplify right side
   103,880x = 21,914,657,296
5. Step 5: Solve for x
   x = 21,914,657,296/103,880
6. Step 6: Final answer
   x = 210,961.28