Finding the Third Proportional to 53,490 and 82,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,490 : 82,780.50 = 82,780.50 : x
2. Step 2: Convert to fraction form
   53,490/82,780.50 = 82,780.50/x
3. Step 3: Cross multiply
   53,490x = 82,780.50 × 82,780.50
4. Step 4: Simplify right side
   53,490x = 6,852,611,180.25
5. Step 5: Solve for x
   x = 6,852,611,180.25/53,490
6. Step 6: Final answer
   x = 128,110.14