Finding the Third Proportional to 109,094,216 and 169,389,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,094,216 : 169,389,567.50 = 169,389,567.50 : x
2. Step 2: Convert to fraction form
   109,094,216/169,389,567.50 = 169,389,567.50/x
3. Step 3: Cross multiply
   109,094,216x = 169,389,567.50 × 169,389,567.50
4. Step 4: Simplify right side
   109,094,216x = 28,692,825,577,837,056
5. Step 5: Solve for x
   x = 28,692,825,577,837,056/109,094,216
6. Step 6: Final answer
   x = 263,009,595.10