Finding the Third Proportional to 53,054 and 115,438.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,054 : 115,438.50 = 115,438.50 : x
2. Step 2: Convert to fraction form
   53,054/115,438.50 = 115,438.50/x
3. Step 3: Cross multiply
   53,054x = 115,438.50 × 115,438.50
4. Step 4: Simplify right side
   53,054x = 13,326,047,282.25
5. Step 5: Solve for x
   x = 13,326,047,282.25/53,054
6. Step 6: Final answer
   x = 251,178.94