Finding the Third Proportional to 130,026 and 193,054.50

Step by Step Solution

1. Step 1: Write the proportion equation
   130,026 : 193,054.50 = 193,054.50 : x
2. Step 2: Convert to fraction form
   130,026/193,054.50 = 193,054.50/x
3. Step 3: Cross multiply
   130,026x = 193,054.50 × 193,054.50
4. Step 4: Simplify right side
   130,026x = 37,270,039,970.25
5. Step 5: Solve for x
   x = 37,270,039,970.25/130,026
6. Step 6: Final answer
   x = 286,635.29